Question

矩阵证明题

Answer 1

接你的方法

则n=k+1时

A^(k+1)=A^k*A

=2^(k-1)A*A

1 1 乘 1 1

=2^(k-1) 1 1 1 1

2 2

=2^(k-1) 2 2

1 1

=2^k 1 1

=2^k* A

所以得证